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JEE PYQ: Mathematical Reasoning Question 15

Question 15 - 2020 (04 Sep Shift 1)

Given the following two statements: $(S_1): (q \vee p) \to (p \leftrightarrow \sim q)$ is a tautology. $(S_2): \sim q \wedge (\sim p \leftrightarrow q)$ is a fallacy. Then:

(1) both $(S_1)$ and $(S_2)$ are correct

(2) only $(S_1)$ is correct

(3) only $(S_2)$ is correct

(4) both $(S_1)$ and $(S_2)$ are not correct

Type: MCQ

Show Answer

Answer: (4)

Solution

The truth table of both the statements shows $S_1$ is not tautology and $S_2$ is not fallacy. Hence, both the statements $(S_1)$ and $(S_2)$ are not correct.


Learning Progress: Step 15 of 42 in this series